Theorems · Theorem · logic and foundations
Hyperreal.infiniteNeg_add_not_infinitePos
Deprecated since 2026-01-05Mathlib marks this declaration as deprecated.
∀ {x y : ℝ*}, x.InfiniteNeg → ¬y.InfinitePos → (x + y).InfiniteNeg- Defined in
- Mathlib.Analysis.Real.Hyperreal
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Hyperrealstatement and proof · cited by 172
- neg_addproof · cited by 69
- Hyperreal.InfinitePosstatement and proof · cited by 44
- Hyperreal.InfiniteNegstatement and proof · cited by 38
- Hyperreal.infinitePos_negproof · cited by 6
- Hyperreal.infinitePos_add_not_infiniteNegproof · cited by 4
- Hyperreal.infiniteNeg_negproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Hyperreal.infiniteNeg_add_infiniteNegproof · cited by 0
- Hyperreal.infiniteNeg_add_not_infiniteproof · cited by 0
- Hyperreal.not_infinitePos_add_infiniteNegproof · cited by 0